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Finding the Fourth Proportional to 32.70, 45.11 and 20.42

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Solution

The fourth proportional to 32.70, 45.11 and 20.42 is: 28.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.70 : 45.11 = 20.42 : x
  2. Step 2: Convert to fraction form
    32.70/45.11 = 20.42/x
  3. Step 3: Cross multiply
    32.70x = 45.11 × 20.42
  4. Step 4: Simplify right side
    32.70x = 920.82
  5. Step 5: Solve for x
    x = 920.82/32.70
  6. Step 6: Final answer
    x = 28.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.